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Finding the Third Proportional to 749,025.84 and 1,617,762.09

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Solution

The third proportional to 749,025.84 and 1,617,762.09 is: 3,494,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,025.84 : 1,617,762.09 = 1,617,762.09 : x
  2. Step 2: Convert to fraction form
    749,025.84/1,617,762.09 = 1,617,762.09/x
  3. Step 3: Cross multiply
    749,025.84x = 1,617,762.09 × 1,617,762.09
  4. Step 4: Simplify right side
    749,025.84x = 2,617,154,191,974.38
  5. Step 5: Solve for x
    x = 2,617,154,191,974.38/749,025.84
  6. Step 6: Final answer
    x = 3,494,077.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.